Advertisements
Advertisements
Question
A(1, 4), B(3, 2) and C(7, 5) are vertices of a triangle ABC. Find the co-ordinates of the centroid of triangle ABC.
Solution
Co-ordinates of the centroid -
`x = (x_1 + x_2 + x_3)/3`
= `(1 + 3 + 7)/3`
= `11/3`
`y = (y_1 + y_2 + y_3)/3`
= `(4 + 2 + 5)/3`
= `11/3`
The co-ordinates of the centroid of triangle ABC are `(11/3, 11/3)`.
APPEARS IN
RELATED QUESTIONS
A line AB meets X – axis at A and Y –axis at B. P (4, -1) divides AB in the ratio 1 : 2.
1) Find the coordinates of A and B.
2) Find the equation of the line through P and perpendicular to AB.
If the straight lines 3x – 5y = 7 and 4x + ay + 9 = 0 are perpendicular to one another, find the value of a.
Find the equation of the line, whose x-intercept = −8 and y-intercept = −4
The line through P (5, 3) intersects y-axis at Q.
write the equation of the line
Find the value of a if the line 4 x = 11 - 3y passes through the point (a, 5)
The line y = 6- `(3"x")/2` passes through the point (r,3). Find the value of r.
X(4,9), Y(-5,4) and Z(7,-4) are the vertices of a triangle. Find the equation of the altitude of the triangle through X.
Find the equation of a line that has Y-intercept 3 units and is perpendicular to the line joining (2, – 3) and (4, 2).
Find a general equation of a line which passes through:
(i) (0, -5) and (3, 0) (ii) (2, 3) and (-1, 2).
ABC is a triangle whose vertices are A(1, –1), B(0, 4) and C(– 6, 4). D is the midpoint of BC. Find the equation of the median AD.